At the center of a 51-m-diameter circular ice rink, a 76 kgskater traveling nort

Question

At the center of a 51-m-diameter circular ice rink, a 76 kgskater traveling north at 2.41 m/s collides with and holds onto a64 kg skater who had been heading west at 4 m/s.
How long will it take them to glide to the edge of therink? Where will they rich it? Give your answer as anangle (in degrees) north of west. At the center of a 51-m-diameter circular ice rink, a 76 kgskater traveling north at 2.41 m/s collides with and holds onto a64 kg skater who had been heading west at 4 m/s.
How long will it take them to glide to the edge of therink? Where will they rich it? Give your answer as anangle (in degrees) north of west.

Explanation / Answer

At the center of a 51-m-diameter circular ice rink, a 76 kgskater traveling north at 2.41 m/s collides with and holds onto a64 kg skater who had been heading west at 4 m/s.
How long will it take them to glide to the edge of therink?
Take north to be +y direction and East to be +x m1v1=m2v2 take for x only 76*2.41=(76+64)*v2 v2=76*2.41/(76+64)=vx for y v2y=64kg*4m/s/(64+76)=vy v after collision=(vy^2+vx^2) time = Distance/velocity=51m/vafter direction =tan(vy/vx)Northwest

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